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Finding the Third Proportional to 11,231.25 and 17,617.13

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Solution

The third proportional to 11,231.25 and 17,617.13 is: 27,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.25 : 17,617.13 = 17,617.13 : x
  2. Step 2: Convert to fraction form
    11,231.25/17,617.13 = 17,617.13/x
  3. Step 3: Cross multiply
    11,231.25x = 17,617.13 × 17,617.13
  4. Step 4: Simplify right side
    11,231.25x = 310,363,093.27
  5. Step 5: Solve for x
    x = 310,363,093.27/11,231.25
  6. Step 6: Final answer
    x = 27,633.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.